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Jack Kiefer (statistician)

Jack Kiefer (statistician) is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Jack Kiefer (statistician) rather than just read about it. In short: Jack Carl Kiefer (January 25, 1924 – August 10, 1981) was an American mathematical statistician at Cornell University (1952 to 1979) and the University of California, Berkeley (1979 to 1981). His research interests included the optimal design of experiments, which was his major research area, as well as a wide variety of topics in mathematical statistics.

Jack Kiefer (statistician) — main illustration
Jack Kiefer (statistician) — illustration

Key takeaways

  • Jack Kiefer (statistician) belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Jack Kiefer (statistician) to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Jack Kiefer (statistician) from memory before moving on to harder problems.

Reference excerpt

Jack Carl Kiefer (January 25, 1924 – August 10, 1981) was an American mathematical statistician at Cornell University (1952 to 1979) and the University of California, Berkeley (1979 to 1981). His research interests included the optimal design of experiments, which was his major research area, as well as a wide variety of topics in mathematical statistics.

Biography Jack Kiefer was born in Cincinnati, Ohio, to Carl Jack Kiefer and Marguerite K. Rosenau. He began his undergraduate studies at the Massachusetts Institute of Technology in 1942, but left after one year, taking up a position as first lieutenant in the United States Army Air Forces during World War II, during which he taught about radar systems. In 1946, he returned to MIT, graduating with bachelor's and master's degrees in economics and engineering in 1948 under the supervision of Harold Freeman. He then began graduate studies at Columbia University, under the supervision of Abraham Wald and Jacob Wolfowitz, receiving his Ph.D. in mathematical statistics in 1952. While still a graduate student, he began teaching at Cornell University in 1951. There was an active scene of inquiry in the fields of probability and statistics on the campus, and he became an assistant professor in 1952 and an associate professor in 1955. In 1957, he married Dooley Sciple, a former undergraduate student of his at Cornell, with whom he had two children. He was appointed a full professor in 1959. Courses that Kiefer taught at Cornell included "Statistics" and "Sequential Analysis and Nonparametric Inference". He was an editor for several academic journals during his time there. Kiefer was publicly active in opposition to United States involvement in the Vietnam War, in particular via tax resistance. A resident of Ithaca, New York, he was a member of county committees and executive committees of Liberal Party of New York for a number of years. In 1968, he ran for the New York State Assembly as the candidate of the Liberal Party. He waged what he called a "limited educational campaign" to highlight a choice beyond the two major parties, acknowledging that his prior probability of winning the election was zero. Incumbent Constance E. Cook was reelected, with Kiefer receiving about 4.5 percent of the vote. During the early 1970s, Kiefer was on a committee offering views to Cornell's board of trustees regarding socially responsible investing. In 1979, he accepted early retirement from Cornell and accepted a new position as Miller Research Professor in the Department of Statistics and Mathematics at the University of California, Berkeley. Kiefer died of a heart attack in Berkeley, California on August 10, 1981.

Awards and honors Kiefer was a Fellow of the American Statistical Association and of the Institute of Mathematical Statistics, a member of the American Academy of Arts and Sciences (elected 1972) and of the United States National Academy of Sciences (elected 1975). From 1969–1970 he was president of the Institute of Mathematical Statistics. In 1973, Kiefer and the physicist-chemist-mathematician Michael Fisher were the first two Cornell faculty elected as Horace White Professors, a new position named after the politician and Cornell scion.

Contributions Much of Kiefer's research was on the design of experiments; the American Statistician obituary calls him "undoubtedly the foremost worker in optimal experimental design". However, he also made significant contributions to other areas of statistics and optimization, including the introduction of golden section search (his master's thesis work) the Dvoretzky–Kiefer–Wolfowitz inequality and the Bahadur-Ghosh-Kiefer representation (with R. R. Bahadur and J. K. Ghosh).

See also Kiefer–Wolfowitz algorithm Hoeffding's independence test Strong subadditivity of quantum entropy Information-based complexity

Notes

References Bechhofer, R. (1982), "Jack Carl Kiefer 1924–1981", The American Statistician, 36 (4): 356–357, doi:10.1080/00031305.1982.10483047, JSTOR 2683084. Brown, Lawrence D.; Olkin, Ingram; Sacks, J.; Wynn, H. P. (1985), Jack Carl Kiefer: Collected Papers, Vols. I, II, III, Springer-Verlag, ISBN 978-0-387-96003-6. Reviewed in Biometrics 43 (1): 257. Brown, Lawrence D. (1984), "The research of Jack Kiefer outside the area of experimental design", Annals of Statistics, 12 (2): 406–415, doi:10.1214/aos/1176346495. O'Connor, John J.; Robertson, Edmund F. (2004), "Jack Kiefer", MacTutor History of Mathematics Archive, University of St Andrews Sacks, Jerome (1984), "Jack Carl Kiefer 1924–1981", Annals of Statistics, 12 (2): 403–405, doi:10.1214/aos/1176346494. Wynn, Henry P. (1984), "Jack Kiefer's contributions to experimental design", Annals of Statistics, 12 (2): 416–423, doi:10.1214/aos/1176346496. "The publications and writings of Jack Kiefer", Annals of Statistics, 12 (2): 424–430, 1984, doi:10.1214/aos/1176346497.

Illustrations

Jack Kiefer (statistician) illustration

Worked examples

Example 1 — a first encounter with Jack Kiefer (statistician)

Start with the simplest possible case. Write down what Jack Kiefer (statistician) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Jack Kiefer (statistician) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Jack Kiefer (statistician) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Jack Kiefer (statistician)

In research
Jack Kiefer (statistician) appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Jack Kiefer (statistician) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Jack Kiefer (statistician) is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1924 births, 1981 deaths, 20th-century American statisticians, so understanding it makes those chapters shorter.
In everyday life
Look for Jack Kiefer (statistician) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Jack Kiefer (statistician) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Jack Kiefer (statistician) means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Jack Kiefer (statistician) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Jack Kiefer (statistician) in simple terms?

Jack Carl Kiefer (January 25, 1924 – August 10, 1981) was an American mathematical statistician at Cornell University (1952 to 1979) and the University of California, Berkeley (1979 to 1981). His research interests included the optimal design of experiments, which was his major research area, as we…

Why does Jack Kiefer (statistician) matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Jack Kiefer (statistician)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Jack Kiefer (statistician).

Tags

  • 1924 births
  • 1981 deaths
  • 20th-century American statisticians
  • American mathematical statisticians
  • Columbia Graduate School of Arts and Sciences alumni
  • Cornell University faculty
  • Fellows of the American Statistical Association
  • Fellows of the Institute of Mathematical Statistics
  • Liberal Party of New York politicians
  • Massachusetts Institute of Technology alumni
  • Members of the United States National Academy of Sciences
  • People from Cincinnati

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